Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction

Abstract

A spin-1/2 Heisenberg model with a chirality-chirality interaction (CCI) on a two-leg ladder provides a minimal setup to explore an interplay between spin and chirality degrees of freedom. This model is potentially relevant for understanding the effects of a four-spin ring exchange and a phonon-mediated interaction on a ladder. By applying the Abelian bosonization and two types of spin-chirality duality, we derive a comprehensive ground-state phase diagram that includes previously unexplored cases of a ferromagnetic rung exchange $J_{\perp }<0$ or a negative CCI $K_{\mathrm{ch}}<0$. The phase diagram consists of the rung singlet (RS) phase, the Haldane phase, and three non-magnetic ordered phases. Moreover, the RS and Haldane phases consist of several regions with different dominant correlations in terms of spin, dimer, or chirality. We perform numerical simulations to confirm the predicted phase structure and critical properties.

16 pages, 13 figures. arXiv admin note: text overlap with arXiv:2311.07053

References in corpus (21)

• The ITensor Software Library for Tensor Network Calculations
• From density-matrix renormalization group to matrix product states
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
• Topological phases in ultracold polar-molecule quantum magnets
• Ground-state phase diagram of a spin-1/2 frustrated ferromagnetic XXZ chain: Haldane dimer phase and gapped/gapless chiral phases
• Phase Diagram of a Spin Ladder with Cyclic Four Spin Exchange
• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Spin coupling in zigzag Wigner crystals
• Coefficients of bosonized dimer operators in spin-1/2 XXZ chains and their applications
• Systematic Derivation of Order Parameters through Reduced Density Matrices
• Chiral spin pairing in helical magnets
• Quantum Fluctuations of Chirality in One-Dimensional Spin-1/2 Multiferroics: Gapless Dielectric Response from Phasons and Chiral Solitons
• Symmetry Protected Topological Phases in Spin Ladders with Two-body Interactions
• A model of chiral spin liquids with Abelian and non-Abelian topological phases
• Continuous phase transition between Neel and valence bond solid phases in a J-Q-like spin ladder system
• Semiclassical Approach to Competing Orders in Two-leg Spin Ladder with Ring-Exchange
• Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange
• Symmetry-protected topological phases and competing orders in a spin-1/2 XXZ ladder with a four-spin interaction
• Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder
• Antiferromagnetic ordering of energy levels for spin ladder with four-spin cyclic exchange: Generalization of the Lieb-Mattis theorem
• Symmetry, topology, duality, chirality, and criticality in a spin-1/2 XXZ ladder with a four-spin interaction